Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications
A. Aghajani, Craig Cowan · Discrete and Continuous Dynamical Systems · 2019
In this paper we consider positive supersolutions of the nonlinear elliptic equation \begin{document}$ - \Delta u = \rho(x) f(u)| abla u|^p, ~~~~ {\rm{ in }}~~~~ \Omega, $\end{document} where $ 0\le p1 $ then every positive supersolution in an exterior domain is eventually constant if \begin{document}$ (N-2)q+p(N-1)< N+\beta. $\end{document}